To find the area of the entire park on the map, we can use the formula for the area of a rectangle:
\[ \text{Area} = \text{length} \times \text{width} \]
For the park, the dimensions are 20 inches by 20 inches:
\[ \text{Area of the park} = 20 , \text{in} \times 20 , \text{in} = 400 , \text{square inches} \]
Next, we can calculate the area of the playground, which has dimensions 16 inches by 5 inches:
\[ \text{Area of the playground} = 16 , \text{in} \times 5 , \text{in} = 80 , \text{square inches} \]
To find the percentage of the park that is the playground, we use the following formula:
\[ \text{Percentage of park that is playground} = \left( \frac{\text{Area of playground}}{\text{Area of park}} \right) \times 100 \]
Substituting the areas we calculated:
\[ \text{Percentage of park that is playground} = \left( \frac{80 , \text{square inches}}{400 , \text{square inches}} \right) \times 100 = 20% \]
Therefore, the area of the entire park is 400 square inches, and the playground occupies 20% of the park.